Inequalities for the Polar Derivative of a Polynomial
Abbreviated Journal Title
Complex Anal. Oper. Theory
Polynomials; Polar derivative; Inequalities in the complex domain; Mathematics, Applied; Mathematics
Let P(z) be a polynomial of degree at most n. We consider an operator D (alpha) which maps a polynomial P(z) into D (alpha) P(z) := nP(z) + (alpha - z)P'(z) and prove results concerning the estimates of |D (alpha) P(z)| on the disk |z| = R a parts per thousand yen 1, and thereby obtain extensions and generalizations of a number of well-known polynomial inequalities.
Complex Analysis and Operator Theory
"Inequalities for the Polar Derivative of a Polynomial" (2012). Faculty Bibliography 2010s. 2938.